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Simplifying 3(2x + 4) + -2x = 32 Reorder the terms: 3(4 + 2x) + -2x = 32 (4 * 3 + 2x * 3) + -2x = 32 (12 + 6x) + -2x = 32 Combine like terms: 6x + -2x = 4x 12 + 4x = 32 Solving 12 + 4x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 32 + -12 4x = 32 + -12 Combine like terms: 32 + -12 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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